On homotopy Poisson actions and reduction of symplectic Q-manifolds

Abstract

We present a general framework for reduction of symplectic Q-manifolds via graded group actions. In this framework, the homological structure on the acting group is a multiplicative multivector field.

References in corpus (1)

• A supergeometric approach to Poisson reduction

Cited by in corpus (9)

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• Lie 2-bialgebras
• Differential graded contact geometry and Jacobi structures
• Kirillov structures up to homotopy
• The Quaternions and Bott Periodicity Are Quantum Hamiltonian Reductions
• Homotopy Poisson algebras, Maurer-Cartan elements and Dirac structures of CLWX 2-algebroids
• Strong homotopy Lie algebras, homotopy Poisson manifolds and Courant algebroids
• Supersymmetric Poisson and Poisson-supersymmetric sigma models
• A supergeometric approach to $L_{\infty }$-bialgebras